Research Article

On certain subclass of univalent functions of complex order associated with Pascal distribution series

Volume: 70 Number: 2 December 31, 2021
EN

On certain subclass of univalent functions of complex order associated with Pascal distribution series

Abstract

In this study, by establishing a connection between normalized univalent functions in the unit disc and Pascal distribution series, we have obtained the necessary and sufficient conditions for these functions to belong to some subclasses of univalent functions of complex-order. We also determined some conditions by considering the integral operator for these functions.

Keywords

References

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  2. Altintaş, O., Özkan, Ö., Srivastava, H. M., Neighorhoods of a class of analytic functions with negative coefficient, Applied Mathematics Letters, 13(3) (2000), 63-67. https://doi.org/10.1016/S0893-9659(99)00187-1
  3. Çakmak, S., Yalçın, S., Altınkaya, ¸S., Some connections between various classes of analytic functions associated with the power series distribution, Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(5) (2019), 982-985. https://doi.org/10.16984/saufenbilder.552957
  4. El-Deeb, S.M., Bulboaca, T., Dziok, J., Pascal distribution series connected with certain subclasses of univalent functions, Kyungpook Mathematical Journal, 59(2) (2019), 301-314. https://doi.org/10.5666/KMJ.2019.59.2.301
  5. Duren, P. L., Univalent Functions, Grundlehren der Mathematischen Wissenschaften 259, Springer-Verlag, New York, 1983.
  6. Halim, S. A., On a class of functions of complex order, Tamkang Journal of Mathematics, 30(2) (1999), 147-153. https://doi.org/10.5556/j.tkjm.30.1999.4221
  7. Murugusundaramoorthy, G., Vijaya, K., Porwal, S., Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series, Hacettepe Journal of Mathematics and Statistics, 45(4) (2016), 1101-1107. https://doi.org/10.15672/HJMS.20164513110
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2021

Submission Date

December 21, 2020

Acceptance Date

April 22, 2021

Published in Issue

Year 2021 Volume: 70 Number: 2

APA
Şeker, B., & Sümer Eker, S. (2021). On certain subclass of univalent functions of complex order associated with Pascal distribution series. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(2), 849-857. https://doi.org/10.31801/cfsuasmas.844259
AMA
1.Şeker B, Sümer Eker S. On certain subclass of univalent functions of complex order associated with Pascal distribution series. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(2):849-857. doi:10.31801/cfsuasmas.844259
Chicago
Şeker, Bilal, and Sevtap Sümer Eker. 2021. “On Certain Subclass of Univalent Functions of Complex Order Associated With Pascal Distribution Series”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (2): 849-57. https://doi.org/10.31801/cfsuasmas.844259.
EndNote
Şeker B, Sümer Eker S (December 1, 2021) On certain subclass of univalent functions of complex order associated with Pascal distribution series. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 2 849–857.
IEEE
[1]B. Şeker and S. Sümer Eker, “On certain subclass of univalent functions of complex order associated with Pascal distribution series”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 2, pp. 849–857, Dec. 2021, doi: 10.31801/cfsuasmas.844259.
ISNAD
Şeker, Bilal - Sümer Eker, Sevtap. “On Certain Subclass of Univalent Functions of Complex Order Associated With Pascal Distribution Series”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/2 (December 1, 2021): 849-857. https://doi.org/10.31801/cfsuasmas.844259.
JAMA
1.Şeker B, Sümer Eker S. On certain subclass of univalent functions of complex order associated with Pascal distribution series. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:849–857.
MLA
Şeker, Bilal, and Sevtap Sümer Eker. “On Certain Subclass of Univalent Functions of Complex Order Associated With Pascal Distribution Series”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 2, Dec. 2021, pp. 849-57, doi:10.31801/cfsuasmas.844259.
Vancouver
1.Bilal Şeker, Sevtap Sümer Eker. On certain subclass of univalent functions of complex order associated with Pascal distribution series. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Dec. 1;70(2):849-57. doi:10.31801/cfsuasmas.844259

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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